Determinante de una matriz 2x2 | Álgebra lineal

How to Calculate the Determinant of a 2x2 Matrix

Introduction to Determinants

• The video begins with an introduction on calculating the determinant of a 2x2 matrix, using a specific example: a matrix containing the numbers 4, 1, 6, and 2.

Step-by-Step Calculation

• To find the determinant of matrix A, take the product of the first and last values (4 and 2), which gives 4 times 2 = 8.

• Next, subtract the product of the other two numbers (6 and 1): 8 - (1 times 6).

• This results in 8 - 6 = 2, concluding that the determinant of matrix A is equal to 2.

Example with Another Matrix

• The video presents another example with matrix B. Here, it calculates its determinant by taking the first diagonal (10 and 3).

• The calculation involves multiplying these values: 10 times 3 = 30.

• Then it subtracts the product from another diagonal (-2 and 1): 30 - (-2 times 1), resulting in 30 + 2 =32.